101131001 has 8 divisors (see below), whose sum is σ = 101822784. Its totient is φ = 100442160.

The previous prime is 101130983. The next prime is 101131003. The reversal of 101131001 is 100131101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101131001 - 2¹⁴ = 101114617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101131001.

It is not an unprimeable number, because it can be changed into a prime (101131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159956 + ... + 160586.

It is an arithmetic number, because the mean of its divisors is an integer number (12727848).

Almost surely, 2^101131001 is an apocalyptic number.

It is an amenable number.

101131001 is a deficient number, since it is larger than the sum of its proper divisors (691783).

101131001 is an equidigital number, since it uses as much as digits as its factorization.

101131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 101131001 is about 10056.3910524601. The cubic root of 101131001 is about 465.9022079848.

Adding to 101131001 its reverse (100131101), we get a palindrome (201262102).

The spelling of 101131001 in words is "one hundred one million, one hundred thirty-one thousand, one".